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Finding the Fourth Proportional to 14,071.17, 19,417.43 and 7,696.49

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Solution

The fourth proportional to 14,071.17, 19,417.43 and 7,696.49 is: 10,620.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,071.17 : 19,417.43 = 7,696.49 : x
  2. Step 2: Convert to fraction form
    14,071.17/19,417.43 = 7,696.49/x
  3. Step 3: Cross multiply
    14,071.17x = 19,417.43 × 7,696.49
  4. Step 4: Simplify right side
    14,071.17x = 149,445,920.25
  5. Step 5: Solve for x
    x = 149,445,920.25/14,071.17
  6. Step 6: Final answer
    x = 10,620.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.